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math.DS2020
Secular dynamics for curved two-body problems
Connor Jackman
Consider the dynamics of two point masses on a surface of constant curvature subject to an attractive force analogue of Newton's inverse square law. When the distance between the b…
math.DS2015
No hyperbolic pants for the 4-body problem
Connor Jackman, Richard Montgomery
The -body problem with a potential has, in addition to translation and rotational symmetry, an effective scale symmetry which allows its zero energy flow to be reduced t…